On Neron-Severi lattices of Jacobian elliptic K3 surfaces

被引：2

作者：

Clingher, Adrian ^{[1
]}

Malmendier, Andreas ^{[2
]}

机构：

[1] Univ Missouri, Dept Math & Stat, St Louis, MO 63121 USA

[2] Utah State Univ, Dept Math & Stat, Logan, UT 84322 USA

来源：

MANUSCRIPTA MATHEMATICA | 2024年 / 173卷 / 3-4期

基金：

芬兰科学院;

关键词：

14J27; 14J28; KUMMER SURFACES; FIBRATIONS;

D O I：

10.1007/s00229-023-01486-3

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We classify all Jacobian elliptic fibrations on K3 surfaces with finite automorphism group. We also classify all Jacobian elliptic fibrations with finite Mordell-Weil group on K3 surfaces with infinite automorphism group and 2-elementary Neron-Severi lattice. As part of the classification, we compute the lattice theoretic multiplicities of all Jacobian elliptic fibrations in both cases.

引用

页码：847 / 866

页数：20

共 39 条

[1]

[Anonymous], 2001, P MOONSHINE RELATED

[2]

[Anonymous], 2012, Albanian J. Math.

[3]

[Anonymous], 1977, P INT S ALGEBRAIC GE

[4]

[Anonymous], 1996, J. Math. (N.S.)

[5]

[Anonymous], 1990, Comment. Math. Univ. St. Pauli

[6] Non-symplectic automorphisms of order 3 on K3 surfaces [J].

Artebani, Michela ;

Sarti, Alessandra .

MATHEMATISCHE ANNALEN, 2008, 342 (04) :903-921

[7] K3 surfaces with non-symplectic automorphisms of prime order [J].

Artebani, Michela ;

Sarti, Alessandra ;

Taki, Shingo .

MATHEMATISCHE ZEITSCHRIFT, 2011, 268 (1-2) :507-533

[8] ON CERTAIN ISOGENIES BETWEEN K3 SURFACES [J].

Camere, Chiara ;

Garbagnati, Alice .

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2020, 373 (04) :2913-2931

[9]

Clingher A., 2023, ALBAN J MATH, V17, P13

[10]

Clingher A., ARXIV

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